40 On the Hardy Littlewood 3-tuple prime conjecture and convolutions of Ramanujan s 44:48 Quantitative estimates for the size of an intersection of sparse automatic sets 41:09 A new explicit bound for the Riemann zeta function 52:30 An explicit error term in the prime number theorem for ...
Boris Adamczewski Furstenberg's conjecture, Mahler's method, and finite automata 53:12 János Pintz On the mean value of the remainder term of the prime number formula 48:20 Shabnam Akhtari Orders in Quartic Number Fields and Classical Diophantine Equati 58:41 Vitaly Bergelson A soft dynam...
These types of objects are extremely common in geometry, so it is useful to be familiar with them and how to indicate that two geometrical objects are congruent.Answer and Explanation: A congruence statement is a statement used in geometry that simply says that two objects are congruent, or ha...
In math, the term “conjecture” refers to a specific statement that is thought to be true but has not been proven.In geometry, there are many different conjectures, such as the sum of angles in a triangle, linear pair, parallel lines and inscribed angle conjectures. One conjecture used in...
This is unsurprising, given that Gowers’ proof of Szemerédi’s theorem proceeds through a weaker version of the inverse conjecture and a density increment argument, and also given that it is possible to derive Szemerédi’s theorem from knowledge of the characteristic factor for multiple ...
Well, lots of problems, actually. (My favorite is theKakeya Conjecture.) But I’m talking about a culture problem, a communication problem: the gap between mathematics aswrittenand mathematics aspracticed. Mathematicalworkis full of loop-de-loops and dead ends. It’s multi-modal, multi-player...
As a general rule, a polyhedron is named according to the number of faces it has. An octahedron has eight faces, a dodecahedron has 12, and so forth. Sometimes, descriptive terms about the shape will be added as well. A pyramid, for example, is a special type of four or five sided ...
Needless to say, apart from the trivial case of odd , there are no values of for which the Hardy-Littlewood conjecture is known. However there are some results that say that this conjecture holds “on the average”: in particular, if is a quantity depending on that is somewhat large, the...
What is a conclusion drawn by inductive reasoning called? a) Counterexample b) Conjecture c) Conditional d) Contrapositive What is reasonableness in math? What does ^ mean in mathematics? What is a relation in the mathematical sense? Simplify the following logical expressions by using the axioms,...
Those who believe in the ability of pyramids to concentrate or focus cosmic energy state that the shape is what is important, not the materials. A properly constructed pyramid, using the same geometry employed in the Egyptian pyramids, can be made of anything and still be effective. Some propo...